I have other comments on this subject in this chain of problems of starting and then not running!
Basically to zero in, the problem is in the Carburetor! Other commenters have pointed out taking off the carb bowl and cleaning the jet and clearing out any dirts or ?? A good cleaner is carb cleaner or, I use Lacquer thinner! The jet needs to have a thin wire pushed thru it. and if an air compressor is available good to blow out all you can.
Amazon sells a replacement carb for about $10.00! Normally cleaning the jet and cleaning the bowl does the trick, but there is always that one that just needs a replaced carb!